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Finding the Fourth Proportional to 55,255.96, 82,883.85 and 13,702.96

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Solution

The fourth proportional to 55,255.96, 82,883.85 and 13,702.96 is: 20,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,255.96 : 82,883.85 = 13,702.96 : x
  2. Step 2: Convert to fraction form
    55,255.96/82,883.85 = 13,702.96/x
  3. Step 3: Cross multiply
    55,255.96x = 82,883.85 × 13,702.96
  4. Step 4: Simplify right side
    55,255.96x = 1,135,754,081.20
  5. Step 5: Solve for x
    x = 1,135,754,081.20/55,255.96
  6. Step 6: Final answer
    x = 20,554.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.